Solving One-Step Equations | Expressions & Equations | Grade 6
Math is Simple!・2 minutes read
Identify the constant in the equation attached to the variable, then add its inverse to both sides to solve for the variable value. Always double-check by substituting the value back into the equation to verify accuracy.
Insights
- Identify the constant attached to the variable in a one-step equation to determine the necessary operation for isolation.
- Use the subtraction property of equality by adding the inverse of the constant to eliminate it and solve for the variable, ensuring accuracy through substitution.
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Recent questions
How do you solve one-step equations?
By identifying the constant and applying inverse operations.
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Summary
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Solving One-Step Equations with Subtraction
- To solve one-step equations emphasizing the subtraction property of equality, start by identifying the constant attached to the variable. In the equation y + 14 = 26, the constant is positive 14. To eliminate it, add its inverse, which is negative 14, to both sides. This results in y = 26 - 14, giving y a value of 12. Double-check by substituting 12 back into the equation to ensure accuracy.
- In another example, when faced with 17 + r = 42, recognize the absence of a sign before 17 implies it's positive. The inverse of positive 17 is negative 17. Applying the subtraction property of equality, subtract 17 from both sides to isolate r. Calculating 42 - 17 yields r = 25. Verify by substituting 25 back into the equation, confirming the correctness of the solution.
